Regularization of the Poisson Bracket in Field Theory
High Energy Physics - Theory
2021-03-09 v1 Mathematical Physics
math.MP
Abstract
In field theory the Poisson bracket between an arbitrary function and the system Hamiltonian acquires odd contributions. Here a modification is worked out to remove those terms, which leads to a certain version of the energy-momentum tensor. The resulting Poisson bracket is thus more easily accessible for quantization. An outlook hereupon is given, based on a field theoretic alternative to non-commutative spacetime.
Cite
@article{arxiv.2103.04313,
title = {Regularization of the Poisson Bracket in Field Theory},
author = {P. Liebrich},
journal= {arXiv preprint arXiv:2103.04313},
year = {2021}
}